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A Classroom Approach to the Construction of an Approximate Confidence Interval of a Poisson Mean Using One Observation

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  • Per Gösta Andersson

Abstract

Even elementary statistical problems may give rise to a deeper and broader discussion of issues in probability and statistics. The construction of an approximate confidence interval for a Poisson mean turns out to be such a case. The simple standard two-sided Wald confidence interval by normal approximation is discussed and compared with the score interval. The discussion is partly in the form of an imaginary dialog between a teacher and a student, where the latter is supposed to have studied mathematical statistics for at least one semester.

Suggested Citation

  • Per Gösta Andersson, 2015. "A Classroom Approach to the Construction of an Approximate Confidence Interval of a Poisson Mean Using One Observation," The American Statistician, Taylor & Francis Journals, vol. 69(3), pages 160-164, August.
    • Handle: RePEc:taf:amstat:v:69:y:2015:i:3:p:160-164
    DOI: 10.1080/00031305.2015.1056830
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